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Finding the Fourth Proportional to 1,052.98, 1,579.18 and 436.54

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Solution

The fourth proportional to 1,052.98, 1,579.18 and 436.54 is: 654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.98 : 1,579.18 = 436.54 : x
  2. Step 2: Convert to fraction form
    1,052.98/1,579.18 = 436.54/x
  3. Step 3: Cross multiply
    1,052.98x = 1,579.18 × 436.54
  4. Step 4: Simplify right side
    1,052.98x = 689,371.83
  5. Step 5: Solve for x
    x = 689,371.83/1,052.98
  6. Step 6: Final answer
    x = 654.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.